IM 7.7.5 Lesson: Using Equations to Solve for Unknown Angles
Tyler thinks that this figure has enough information to figure out the values of and .
Do you agree? Explain your reasoning.
Elena and Diego each wrote equations to represent these diagrams. For each diagram, decide which equation you agree with, and solve it. You can assume that angles that look like right angles are indeed right angles.
Elena:
Diego:
Elena:
Diego:
Elena:
Diego:
Elena:
Diego:
Elena:
Diego:
Find the unknown angle measures. Show your thinking. Organize it so it can be followed by others.
The diagram contains three squares. Three additional segments have been drawn that connect corners of the squares. We want to find the exact value of a + b + c.
Use a protractor to measure the three angles. Use your measurements to conjecture about the value of .
Find the exact value of by reasoning about the diagram.